Results 91 to 100 of about 557,563 (269)

Existence and uniqueness for a dislocation model with short-range interactions and varying stress field

Electronic Journal of Differential Equations, 2015
In this article, we consider a coupled singular parabolic system, describing the dynamics of dislocation densities in a bounded domain. The model takes into consideration the short-range interactions between dislocations, which causes the singularity ...
Hassan Ibrahim
doaj  

Translating whole‐genome doubling into precision medicine in cancer

Molecular Oncology, EarlyView.
Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley   +1 more source

Single‐cell DNA methylation profiling: Technologies, computation, and applications in precision oncology

Molecular Oncology, EarlyView.
Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley   +1 more source

Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian

Electronic Journal of Differential Equations, 2015
We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data.
Jiri Benedikt, Vladimir E. Bobkov, Petr Girg, Lukas Kotrla, Peter Takac   +4 more
doaj  

Targeting transcription factors associated with hemoglobinopathies: Lessons from successful interventions and implications for cancer

Molecular Oncology, EarlyView.
This review summarizes the transcription factors, repressive chromatin‐modifying complexes, and epigenetic mechanisms that control fetal hemoglobin repression. Notably, many regulators of γ‐globin silencing also function in transcriptional and epigenetic networks that drive cancer, highlighting opportunities to translate advances in hemoglobinopathy ...
Meigen Yu, Puspa Das, Xing Zhang, Xiaodong Cheng   +3 more
wiley   +1 more source

Blowup and existence of global solutions to nonlinear parabolic equations with degenerate diffusion

Electronic Journal of Differential Equations, 2013
In this article, we consider the degenerate parabolic equation $$ u_t-\hbox{div}(|\nabla u|^{p-2}\nabla u) =\lambda u^m+\mu|\nabla u|^q $$ on a smoothly bounded domain $\Omega\subseteq\mathbb{R}^N\; (N\geq2)$, with homogeneous Dirichlet boundary ...
Zhengce Zhang, Yan Li
doaj  

Comparison Principle for Weakly Coupled Cooperative Parabolic Systems with Delays

Mathematics
In this article, the validity of the comparison principle (CP) for weakly coupled quasi-linear cooperative systems with delays is proven. This is a powerful tool for studying the qualitative properties of the solutions. The CP is crucial in the proofs of
Georgi Boyadzhiev
doaj   +1 more source

On the comparison principle in the calculus of variations

Arkiv för Matematik, 1983
On etudie des integrales variationnelles de la forme I(u,D)=∫ D F(x,⊇u(x))dx,DCG.
openaire   +3 more sources

Spatial biology in cancer epigenetics

Molecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

Decay estimates and extinction properties of parabolic equations with classical and fractional time derivatives

Electronic Journal of Differential Equations
In this article, we study the decay estimates and extinction properties of weak solutions to some parabolic equations with classical and fractional time derivatives.
Fanmeng Meng, Xian-Feng Zhou
doaj